Weak-light ultraslow vector solitons via electromagnetically induced transparency

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 3, 2008, Pages

  Hang, Chao ^a   Huang, Guoxiang ^b  

^a EAST CHINA NORMAL UNIVERSITY   (China)

^b EAST CHINA NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL METHODS; OPTICAL FIBERS; PHASE MODULATION; TRANSPARENCY;

CROSS-PHASE MODULATION EFFECTS; ULTRASLOW PROPAGATING VELOCITY; ULTRASLOW VECTOR SOLITONS;

SOLITONS;

EID: 40949132485     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.033830     Document Type: Article

References (39)

1. C. R. Menyuk, Opt. Lett. 12, 614 (1987). 0146-9592
2. D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13, 53 (1988). 0146-9592
3. M. V. Tratnik and J. E. Sipe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.38.2011 38, 2011 (1988).
4. M. N. Islam, C. D. Poole, and J. P. Gordon, Opt. Lett. 14, 1011 (1989). 0146-9592
5. Y. Barad and Y. Silberberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.3290 78, 3290 (1997).
6. S. T. Cundiff, B. C. Collings, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, and W. H. Knox, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 82.3988 82, 3988 (1999).
7. A. E. Korolev, V. N. Nazarov, D. A. Nolan, and C. M. Truesdale, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.30.000132 30, 132 (2005).
8. D. Rand, I. Glesk, C.-S. Brès, D. A. Nolan, X. Chen, J. Koh, J. W. Fleischer, K. Steiglitz, and P. R. Prucnal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.053902 98, 053902 (2007).
9. M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.3211 73, 3211 (1994).
10. Z. Chen, M. Segev, T. H. Coskun, and D. N. Christodoulides, Opt. Lett. 21, 1436 (1996). 0146-9592
11. J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.3699 76, 3699 (1996).
12. C. Anastassiou, J. W. Fleischer, T. Carmon, M. Segev, and K. Steiglitz, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.26.001498 26, 1498 (2001).
13. M. Delquè, T. Sylvestre, H. Maillotte, C. Cambournac, P. Kockaert, and M. Haelterman, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.30.003383 30, 3383 (2005).
14. M. N. Islam, Ultrafast Fiber Switching Devices and Systems (Cambridge University Press, Cambridge, 1992).
15. S. V. Manakov, Sov. Phys. JETP SPHJAR 0038-5646 38, 248 (1974).
16. K. Steiglitz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.016608 63, 016608 (2000).
17. M. D. Lukin, P. R. Hemmer, and M. O. Scully, Adv. At., Mol., Opt. Phys. 42, 386 (2000). 1049-250X
18. M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.633 77, 633 (2005).
19. L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behrrozi, Nature (London) NATUAS 0028-0836 10.1038/17561 397, 594 (1999).
20. M. M. Kash, V. A. Sautenkov, A. S. Zibrov, L. Hollberg, G. R. Welch, M. D. Lukin, Yu Rostovtsev, E. S. Fry, and M. O. Scully, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.5229 82, 5229 (1999).
21. H. Schmidt and A. Imamoglu, Opt. Lett. OPLEDP 0146-9592 10.1103/PhysRevLett.64.1107 21, 1936 (1996).
22. H. Kang and Y. Zhu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.093601 91, 093601 (2003).
23. C. Ottaviani, D. Vitali, M. Artoni, F. Cataliotti, and P. Tombesi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.197902 90, 197902 (2003).
24. D. Petrosyan, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/7/7/003 7, S141 (2005).
25. Y. Wu and L. Deng, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 93.143904 93, 143904 (2004)
26. Y. Wu and L. Deng, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.29.002064 29, 2064 (2004).
27. G. Huang, L. Deng, and M. G. Payne, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.016617 72, 016617 (2005).
28. L. Deng, M. G. Payne, G. Huang, and E. W. Hagley, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.055601 72, 055601 (R) (2005).
29. G. Huang, K. Jiang, M. G. Payne, and L. Deng, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.056606 73, 056606 (2006).
30. C. Hang, G. Huang, and L. Deng, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.036607 73, 036607 (2006).
31. T. Hong, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.183901 90, 183901 (2003).
32. H. Michinel, M. J. Paz-Alonso, and V. M. Pérez-García, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.023903 96, 023903 (2006).
33. C. Hang, G. Huang, and L. Deng, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.046601 74, 046601 (2006).
34. I. Friedler, G. Kurizki, O. Cohen, and M. Segev, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.30.003374 30, 3374 (2005).
35. A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Clarendon, Oxford, 1995).
36. R. Radhakrishnan, M. Lakshmanan, and J. Hietarinta, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.2213 56, 2213 (1997).
37. T. I. Lakoba and D. J. Kaup, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.6147 56, 6147 (1997).
38. J. Yang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.2393 59, 2393 (1999).
39. By using the method of multiple scales, one can further solve the fourth-order approximation of Eqs. 10 10 10 10 10 10. Then Eqs. 17 17 will be modified to have some additional terms contributed by high-order dispersion and high-order nonlinearities. The effect of these additional terms can be studied analytically by the perturbation theory of solitons.